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Populaire Word Problems >

The sum of 3 consecutive even numbers is 403.What is the largest of the numbers?

Solution

T h e s u m o f 3 co n sec u t i v e e v e n n u mb ers i s 403. Wha t i s t h e l a r g es t o f t h e n u mb ers ?

Solution

The largest number : 136 \frac{1}{3}

étapes des solutions

Represent the numbers with

x

:

First number : x

Consecutive number 1 : x + 2

Consecutive number 2 : x + 4

A.T.Q.:

x + x + 2 + x + 4 = 403

Résoudre

x + x + 2 + x + 4 = 403 : x = \frac{397}{3}

x + 2 = \frac{397}{3} + 2 = \frac{403}{3}

x + 4 = \frac{397}{3} + 4 = \frac{409}{3}

Convertir des fractions impropres en nombres mixtes:

\frac{397}{3} = 132 \frac{1}{3}

Convertir des fractions impropres en nombres mixtes:

\frac{403}{3} = 134 \frac{1}{3}

Convertir des fractions impropres en nombres mixtes:

\frac{409}{3} = 136 \frac{1}{3}

Select the largest solution:

136 \frac{1}{3}

The largest number : 136 \frac{1}{3}

Exemples populaires

The sum of two numbers is 26. Half the larger number increased by five is same as the smaller number. Find the numbers Three times the sum of a number and 6 is 8 Two consecutive positive numbers are such that the sum of their squares is 113. Find the two numbers For how long must 5 000 be invested at 6% p.a. simple interest to have a final value of6 500.75% of what number is 42